Abstract
In this paper we propose an incoherent optical processor which can perform Abel inversion. Construction of the processor is based on Tchebycheff and Zernike orthogonal polynomials series expansion. It is shown that the series expansion coefficients together with the series summation, can be easily computed optically (using cylindrical optics). Experimental results are presented and compared to the theoretical predictions. Use of the series expansion is proposed for other integral transformations.
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